Robustly resilient memory control for time-delay switched systems under asynchronous switching

摘要

The robustly resilient memory control problem is addressed for a class of switched systems with time delay under asynchronous switching. By resorting to the piecewise Lyapunov-Krasovskii functional, an asynchronous memory controller is designed to ensure the exponential stability of the closed-loop system. Here, the piecewise Lyapunov-Krasovskii functional means that for the activated subsystem, the associated Lyapunov-Krasovskii functional on the unmatched interval is different from that on the matched interval. Then an asynchronously resilient memory controller is derived to guarantee that the corresponding closed-loop system is robustly exponentially stable for all the admissible uncertainties. All the conditions are cast into the form of linear matrix inequalities. Finally, a numerical example is provided to illustrate the validity of the proposed results.